Note this pattern: Mult. 24 by (-1/4) produces -6.
Mult -6 by (-1/4) produces 6/4 = 3/2
Mult. 3/2 by (-1/4) produces 3/8
Looks as though you copied the problem down incorrectly. You wrote 32 for 3/2 and -38 for -3/8.
The common ratio is -1/4.
Because of rules of geometry we know that a+b=180 degrees so we can add the equations together and set that equal to 180 and solve
6x-48+4x+38=180
subtract 38 from both sides and add 48 to both sides
then add like terms
10x=170
and divide by 10 to get
x=17
